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Finding the Fourth Proportional to 1,788.14, 2,681.95 and 910.28

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Solution

The fourth proportional to 1,788.14, 2,681.95 and 910.28 is: 1,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.14 : 2,681.95 = 910.28 : x
  2. Step 2: Convert to fraction form
    1,788.14/2,681.95 = 910.28/x
  3. Step 3: Cross multiply
    1,788.14x = 2,681.95 × 910.28
  4. Step 4: Simplify right side
    1,788.14x = 2,441,325.45
  5. Step 5: Solve for x
    x = 2,441,325.45/1,788.14
  6. Step 6: Final answer
    x = 1,365.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.